SOLUTION: Please help with this: Write a polynomial function in standard form with the given zeros: x= 0,0,2,3 and x = 1,1,2 Thank you

Algebra ->  Rational-functions -> SOLUTION: Please help with this: Write a polynomial function in standard form with the given zeros: x= 0,0,2,3 and x = 1,1,2 Thank you      Log On


   

Question 549889: Please help with this: Write a polynomial function in standard form with the given zeros:
x= 0,0,2,3
and x = 1,1,2
Thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
given zeros:
x= 0,0,2,3
from these we can derive the factors
x * x * (x-2) * (x-3) = x^4 - 5x^3 + 6x^2
looks like this
+graph%28+300%2C+200%2C+-4%2C+4%2C+-4%2C+10%2C+x%5E4-5x%5E3%2B6x%5E2%29+
:
and x = 1,1,2
(x-1)^2 * (x-2) = (x^2-2x+1) * (x-2) = x^3 - 4x^2 + 5x - 2
looks like this
+graph%28+300%2C+200%2C+-4%2C+4%2C+-2%2C+2%2C+x%5E3-4x%5E2%2B5x-2%29+